Geodesic
On strongly $l_p$-summing $m$-linear operators
Lahcène Mezrag1
1 Laboratoire de Mathématiques Pures et Appliquées Université de M'sila BP 166 Ichbilia, 28003 M'sila, Algérie
Colloquium Mathematicum, Tome 111 (2008) no. 1, pp. 59-70

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We introduce and study a new concept of strongly $l_{p}$-summing $m$-linear operators in the category of operator spaces. We give some characterizations of this notion such as the Pietsch domination theorem and we show that an $m$-linear operator is strongly $l_{p}$-summing if and only if its adjoint is $l_{p}$-summing.
DOI : 10.4064/cm111-1-6
Keywords: introduce study concept strongly summing m linear operators category operator spaces characterizations notion pietsch domination theorem m linear operator strongly summing only its adjoint summing

Lahcène Mezrag 1

1 Laboratoire de Mathématiques Pures et Appliquées Université de M'sila BP 166 Ichbilia, 28003 M'sila, Algérie 
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Lahcène Mezrag. On strongly $l_p$-summing $m$-linear operators. Colloquium Mathematicum, Tome 111 (2008) no. 1, pp. 59-70. doi: 10.4064/cm111-1-6

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